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13134067825 = 521753095821
BaseRepresentation
bin11000011101101100…
…11111100001110001
31020220100001202221111
430032312133201301
5203344310132300
610011140353321
7643321506634
oct141666374161
936810052844
1013134067825
11562a92560a
1226666a5841
1313140b2b88
148c84a7c1b
1551d0d59ba
hex30ed9f871

13134067825 has 24 divisors (see below), whose sum is σ = 17250469560. Its totient is φ = 9885619200.

The previous prime is 13134067787. The next prime is 13134067829. The reversal of 13134067825 is 52876043131.

It can be written as a sum of positive squares in 12 ways, for example, as 3498485904 + 9635581921 = 59148^2 + 98161^2 .

It is not a de Polignac number, because 13134067825 - 231 = 10986584177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13134067829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2253415 + ... + 2259235.

It is an arithmetic number, because the mean of its divisors is an integer number (718769565).

Almost surely, 213134067825 is an apocalyptic number.

It is an amenable number.

13134067825 is a deficient number, since it is larger than the sum of its proper divisors (4116401735).

13134067825 is a wasteful number, since it uses less digits than its factorization.

13134067825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11152 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

It can be divided in two parts, 1313406 and 7825, that added together give a palindrome (1321231).

The spelling of 13134067825 in words is "thirteen billion, one hundred thirty-four million, sixty-seven thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 85 425 5309 5821 26545 29105 90253 98957 132725 145525 451265 494785 2256325 2473925 30903689 154518445 525362713 772592225 2626813565 13134067825